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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 110946q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 110946.m1 | 110946q1 | \([1, 0, 1, 3378138405, 77535615808102]\) | \(317627036122491047/377295697084416\) | \(-5064311601150576519844322082816\) | \([]\) | \(227304000\) | \(4.5779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110946q do not have complex multiplication.Modular form 110946.2.a.q
sage: E.q_eigenform(10)